Question: Question 4. Using the Sandwich Theorem, prove that lim (x+6) [sin(7 + e^x) -12] = 0. x--6 lim x0 I Question 5. Using any

Question 4. Using the Sandwich Theorem, prove that lim (x+6) [sin(7 +

Question 4. Using the Sandwich Theorem, prove that lim (x+6) [sin(7 + e^x) -12] = 0. x--6 lim x0 I Question 5. Using any of algebra, limit laws, the Standard Limits for Functions and the indicated substitution, evaluate the following limit. You do not have to state which limit laws you use. If necessary, you should express your answer in terms of the constant b. 4(e2bx-1) X Use y = bx. Note that the constant b = 0. (6 marks) n Inn + 2an lim 1-0 6-"-(n!) (7 marks) Question 6. Using algebra, limit laws, Standard Limits for Sequences and "race to co" arguments as appropriate, evaluate the following limit (in which the constant a > 1). You do not have to state which limit laws you use. (6 marks)

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